Non-equilibrium steady-states for interacting open systems: exact results
Mesoscale and Nanoscale Physics
2015-05-28 v3 Strongly Correlated Electrons
Mathematical Physics
math.MP
Abstract
Under certain conditions we prove the existence of a steady-state transport regime for interacting mesoscopic systems coupled to reservoirs (leads). The partitioning and partition-free scenarios are treated on an equal footing. Our time-dependent scattering approach is {\it exact} and proves, among other things the independence of the steady-state quantities from the initial state of the sample. Closed formulas for the steady-state current amenable for perturbative calculations w.r.t. the interaction strength are also derived. In the partitioning case we calculate the first order correction and recover the mean-field (Hartree-Fock) results.
Keywords
Cite
@article{arxiv.1104.5399,
title = {Non-equilibrium steady-states for interacting open systems: exact results},
author = {Valeriu Moldoveanu and Horia D. Cornean and Claude-Alain Pillet},
journal= {arXiv preprint arXiv:1104.5399},
year = {2015}
}
Comments
To appear in Phys. Rev. B